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Finding the Fourth Proportional to 3,645.80, 5,471.40 and 1,456.10

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Solution

The fourth proportional to 3,645.80, 5,471.40 and 1,456.10 is: 2,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.80 : 5,471.40 = 1,456.10 : x
  2. Step 2: Convert to fraction form
    3,645.80/5,471.40 = 1,456.10/x
  3. Step 3: Cross multiply
    3,645.80x = 5,471.40 × 1,456.10
  4. Step 4: Simplify right side
    3,645.80x = 7,966,905.54
  5. Step 5: Solve for x
    x = 7,966,905.54/3,645.80
  6. Step 6: Final answer
    x = 2,185.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.